Wonderlic Cognitive Ability Practice Test

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What is the lowest term of the fraction 21/49?

4/9
2/5
3/7
12/28

The correct answer is: 3/7

To determine the lowest term of the fraction 21/49, you need to simplify the fraction by finding the greatest common divisor (GCD) of both the numerator (21) and the denominator (49). First, identify the factors of both numbers. The factors of 21 are 1, 3, 7, and 21. The factors of 49 are 1, 7, and 49. The greatest common divisor here is 7, as it is the highest number that can divide both 21 and 49 without leaving a remainder. Next, divide both the numerator and the denominator by their GCD, which is 7. - Simplifying 21 by 7 gives 3. - Simplifying 49 by 7 gives 7. Thus, when you simplify 21/49, you arrive at the fraction 3/7. This fraction cannot be reduced further as 3 and 7 have no common factors other than 1, meaning that 3/7 is indeed in the lowest terms. Therefore, in this context, the fraction 21/49 simplifies to 3/7, making it the correct answer.